Electronic Structures of Quantum Dots and the Ultimate Resolution of Integers

Details Electronic Structures of Quantum Dots and the Ultimate Resolution of Integers Electronic Structures of Quantum Dots and the Ultimate Resolution of Integers

2001-04-08

arxiv.org/abs/cond-mat/0104133v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Two figures

Scientific paper

The orbital angular momentum L as an integer can be ultimately factorized as a product of prime numbers. We show here a close relation between the resolution of L and the classification of quantum states of an N-electron 2-dimensional system. In this scheme, the states are in essence classified into different types according to the m(k)-accessibility, namely the ability to get access to symmetric geometric configurations. The m(k)-accessibility is an universal concept underlying all kinds of 2-dimensional systems with a center. Numerical calculations have been performed to reveal the electronic structures of the states of the dots with 9 and 19 electrons,respectively. This paper supports the Laughlin wave finction and the composite fermion model from the aspect of symmetry.

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